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22-06-2018
Mathematics

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What value is added to both sides of the equation x2 − 6x = 10 in order to solve by completing the square?

−3
3
6
9

Respuesta :

22-06-2018

[tex]x^2-6x=10\\\\x^2-2\cdot x\cdot3=10\ \ \ |+3^2=9\\\\\underbrace{x^2-2\cdot x\cdot3+3^2}_{(a-b)^2=a^2-2ab+b^2}=19\\\\(x-3)^2=19[/tex]

Answer: 9

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